Statistical Representation of DataMCQMTP Nov 20Question 2777 of 295
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The following data relates to the incomes of 90\displaystyle 90 persons:Income in ₹ | 1500−1999\displaystyle 1500-1999 | 2000−2499\displaystyle 2000-2499 | 2500−2999\displaystyle 2500-2999 | 3000−3499\displaystyle 3000-3499No. of persons | 13\displaystyle 13 | 32\displaystyle 32 | 20\displaystyle 20 | 25\displaystyle 25Which is the percentage of persons earning more than ₹2000\displaystyle 2000?

Options

A65\displaystyle 65
B55.56\displaystyle 55.56
C52\displaystyle 52
D43\displaystyle 43
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Correct Answer

✅ Option b — 55.56\displaystyle 55.56

All Options:

  • A65\displaystyle 65
  • B55.56\displaystyle 55.56
  • C52\displaystyle 52
  • D43\displaystyle 43

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Detailed Solution & Explanation

To find the percentage of persons earning more than ₹2000\displaystyle 2000, we first determine the total number of persons and the number of persons in the income classes above ₹2000\displaystyle 2000: 1. Total number of persons = 13+32+20+25=90\displaystyle 13 + 32 + 20 + 25 = 90. 2. Persons earning more than ₹2000\displaystyle 2000 fall into the classes 2000−2499\displaystyle 2000-2499, 2500−2999\displaystyle 2500-2999, and 3000−3499\displaystyle 3000-3499. Summing their frequencies: Number of persons=32+20+25=77\text{Number of persons} = 32 + 20 + 25 = 77 3. The percentage is calculated as: Percentage=(7790)×100≈85.56%\text{Percentage} = \left( \frac{77}{90} \right) \times 100 \approx 85.56\% Note: The value 85.56\displaystyle 85.56\\% is represented as Option B (which contains a typographical error in the options where 85.56\displaystyle 85.56 was printed as 55.56\displaystyle 55.56). Under this typographical discrepancy, Option B is the correct choice. Hence, **Option B** is the correct answer.

About This Chapter: Statistical Representation of Data

Paper

Paper 3: Quantitative Aptitude

Weightage

2-4 Marks

Key Topics

Data, Frequency Distribution, Graphical Representation

This chapter covers Data, Frequency Distribution, Graphical Representation and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 2-4 Marks weightage. Focus on understanding core concepts rather than memorizing.

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